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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 16 — Aug. 11, 2014
  • pp: 19484–19494
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Extraordinary optical properties in the subwavelength metallodielectric free-standing grating

Yuzhang Liang, Wei Peng, Rui Hu, and Lingxiao Xie  »View Author Affiliations


Optics Express, Vol. 22, Issue 16, pp. 19484-19494 (2014)
http://dx.doi.org/10.1364/OE.22.019484


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Abstract

In this paper, we present a free-standing metallodielectric grating structure that can achieve multiple transmission dips and peaks at normal incidence over the visible spectrum. The amount of dips and peaks can be adjusted by the thickness of dielectric film. In our proposed structure, there are three types of resonance modes supported: Surface plasmon polarition (SPP) at horizontal metal/dielectric interface, vertical cavity mode in the metal slits, and guide mode in the dielectric film. Physically the coupling and resonant interactions among these modes lead to the generation of dips and peaks in the transmission spectrum. The transmission peaks is further interpreted by using Fano resonance. More surprisingly, the simultaneous excitation of three types of resonance modes can enhance the field distribution, which results in unexpected nearly perfect absorption in such simple structure. Moreover, compared to other absorption peaks, this high absorption peak originates from that guide mode resonance in the dielectric film inhibits transmission induced by cavity mode resonance in the metal slits. These results can be used in the design of many photonics components.

© 2014 Optical Society of America

1. Introduction

In recent years, subwavelength metal-dielectric nanostructures have attracted much attention because of its extraordinary optical properties for various applications [1

1. B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9(9), 707–715 (2010). [CrossRef] [PubMed]

]. A tremendous number of metal-dielectric nanostructures have been proposed with novel optical properties and new functionalities, such as color filters [2

2. Y.-T. Yoon, C.-H. Park, and S.-S. Lee, “Highly efficient color filter incorporating a thin metal-dielectric resonant structure,” Appl. Phys. Express 5(2), 022501 (2012). [CrossRef]

, 3

3. C.-H. Park, Y.-T. Yoon, and S.-S. Lee, “Polarization-independent visible wavelength filter incorporating a symmetric metal-dielectric resonant structure,” Opt. Express 20(21), 23769–23777 (2012). [CrossRef] [PubMed]

], metamaterial absorbers [4

4. N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, “Infrared perfect absorber and its application as plasmonic sensor,” Nano Lett. 10(7), 2342–2348 (2010). [CrossRef] [PubMed]

6

6. M. Diem, T. Koschny, and C. M. Soukoulis, “Wide-angle perfect absorber/thermal emitter in the terahertz regime,” Phys. Rev. B 79(3), 033101 (2009). [CrossRef]

], and photodectors [7

7. Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, “Design of midinfrared photodetectors enhanced by surface plasmonson grating structures,” Appl. Phys. Lett. 89(15), 151116 (2006). [CrossRef]

]. As we know, the design of these metal-dielectric nanostructures is mainly based on the coupling among various EM modes to cause either enhanced transmission or enhanced absorption. In the case of enhanced transmission, recently, a new bandpass filters have been designed experimentally based on the coupling between metallic grating and thin dielectric film with up to 78% transmission at resonance in the mid-IR wavelength range [8

8. E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, “Guided mode resonance in subwavelength metallodielectric free-standing grating for bandpass filtering,” Opt. Lett. 36(16), 3054–3056 (2011). [CrossRef] [PubMed]

]. To overcome the drawbacks of poor angular tolerance, another bi-atom pattern grating-dielectric structure designed can obtain significant improvement of the angular tolerance without modifying the spectral line shape [9

9. E. Sakat, S. Héron, P. Bouchon, G. Vincent, F. Pardo, S. Collin, J.-L. Pelouard, and R. Haïdar, “Metal-dielectric bi-atomic structure for angular-tolerant spectral filtering,” Opt. Lett. 38(4), 425–427 (2013). [CrossRef] [PubMed]

]. In the case of enhanced absorption, high absorption efficiency up to 75% were obtained under normal incidence at a freestanding thin metal grating because of the coupling between surface plasmon polariton (SPP) modes and the cavity modes [10

10. A. Roszkiewicz and W. Nasalski, “Reflection suppression and absorption enhancement of optical field at thin metal gratings with narrow slits,” Opt. Lett. 37(18), 3759–3761 (2012). [CrossRef] [PubMed]

]. Compared to that in metal-insulator-metal metamaterrial structure [11

11. C. W. Cheng, M. N. Abbas, C. W. Chiu, K. T. Lai, M. H. Shih, and Y. C. Chang, “Wide-angle polarization independent infrared broadband absorbers based on metallic multi-sized disk arrays,” Opt. Express 20(9), 10376–10381 (2012). [CrossRef] [PubMed]

], the absorption efficiency is relatively low due to the downward transmission and upward reflection of metallic grating. To solve the issue of low absorption efficiency, the structure of two-dimensional aluminum grating base on guide mode resonance effect is proposed [12

12. W. Zhou, Y. Wu, M. Yu, P. Hao, G. Liu, and K. Li, “Extraordinary optical absorption based on guided-mode resonance,” Opt. Lett. 38(24), 5393–5396 (2013). [CrossRef] [PubMed]

]. Though employing the coupling between the quasiguided mode supported by a waveguide film and cavity mode, high absorption (maximum value 99.16%) can be obtained.

2. Model construction

Figure 1(a)
Fig. 1 Structure schematic of the proposed metallodielectric free-standing grating and its representative optical phenomenon. (a) Schematic diagram and its structure parameters. (b) Calculated transmission spectrum in TM polarized light and normal incidence with the thickness of SiO2 film H = 800 nm (red line) and H approaching infinite (blue dashed line).
presents the schematics of proposed metallodielectric free-standing grating. The structure is free-standing and consists of a silver film periodically pierced by narrow slits deposited on a thin SiO2 dielectric film, as represented in Fig. 1(a), where H and h indicate SiO2 film thickness and metal film thickness, w is the slit width, and P is the grating period. The wavelength range chosen in this paper is mainly relative to grating period P and the refractive index of dielectric film nSiO2 (P < λ < nSiO2 P). In this wavelength range chosen, the first diffracted orders are trapped in the SiO2 film by reflection on both sides [8

8. E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, “Guided mode resonance in subwavelength metallodielectric free-standing grating for bandpass filtering,” Opt. Lett. 36(16), 3054–3056 (2011). [CrossRef] [PubMed]

]. This structure can be fabricated by using a combination of electron beam lithography and a subsequent lift-off process [14

14. G. Vincent, S. Collin, N. Bardou, J.-L. Pelouard, and R. Haïdar, “Large-area dielectric and metallic freestanding gratings for midinfrared optical filtering applications,” J. Vac. Sci. Technol. B 26(6), 1852–1855 (2008). [CrossRef]

]. We select the period of metallic grating P = 500 nm and silt width w = 100 nm and keep them constant in the following work. Meanwhile, the thickness of metal film and SiO2 are firstly set to h = 200 nm and H = 800 nm, respectively. H and h are considered variable and serve as parameters suitable for optimizing the structure behavior. The electromagnetic wave is transmitted through this structure for TM polarized light, whereas the TE polarized light are almost totally reflected by the metallic grating.

We analyze the optical characteristics of this structure by employing a finite-difference time-domain (FDTD) method (Lumerical FDTD Solutions, Inc.) [15

15. Lumerical Solutions, http://www.lumerical.com.

]. To achieve high precision in the simulation, we use one period of the grating in the following calculation, the periodic boundary condition is set in x direction and perfectly matched film is used in ± z direction under normal incidence. For oblique incidence, Bloch boundary condition in x direction is used. The numerical calculations are performed with extremely well convergence condition. The structure is assumed to be infinite long in y direction and all simulation results have been normalized to the incident light power.

The frequency-dependent permittivity εm of the metal silver is expressed by Drude–Lorentz model, which is defined as [16

16. S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, “Influence of material properties on extraordinary optical transmission through hole arrays,” Phys. Rev. B 77(7), 075401 (2008). [CrossRef]

]
εm(ω)=εr-ωP02ω(ω+iγ0)-Δε0Ω02ω2-Ω02+iωΓ0
(1)
In Eq. (1), the first two items are given by the Drude model, where ω is the angle frequency, ωP0 is the plasma frequency, and γ0 is the damping coefficient. The third term is the Lorentzian term where Ω0 and Γ0, stand for, respectively, the oscillator strength and the spectral width of the Lorentz oscillators, and Δε0 can be interpreted as a weighting factor. But, the Drude model cannot give a detailed description about the permittivity of metal in a wide frequency range. In order to overcome the limitation of the Drude model and be able to consider the interband transitions, one or several Lorentzian terms should be added to make a better fitting effect than only Drude model. In this paper, we use silver as the deposited metal film material because of its low dissipation in visible and near-IR regions compared to other metals and its well-defined plasmonic properties. Therefore, in Eq. (1) εr = 4.6, ωP0 = 1.37 × 1016 rad/s, γ0 = 1.62 × 1014 rad/s, Δε0 = 1.10, Ω0 = 7.43 × 1015 rad/s, Γ0 = 1.82 × 1015 rad/s. The permittivity of SiO2 dielectric film is 2.25.

The SPP resonances (SPPs) are surface waves which propagate at a metal/dielectric interface and are evanescent in the direction normal to the substrate. SPPs excitation condition on both surfaces of the metallic grating is
2πλsinθ-n2πP=-2πλεm(ω)εεm(ω)+ε=ksppn=0,±1,±2,...,±N
(2)
where λ is the incident light wavelength, n is diffraction order, θ is the incident angle and ε is the relative permittivity of the medium on the top and bottom surfaces of metallic grating (for the top air medium, ε = 1; for the bottom SiO2 medium, ε = 2.25). When the above resonance condition is satisfied, the energy carried by the incident wave can be transferred to the SPPs, which propagate along the metal/dielectric interface.

The cavity mode resonance is excited inside the slits of metallic grating. It is determined by resonant length hm, and given by the formula [12

12. W. Zhou, Y. Wu, M. Yu, P. Hao, G. Liu, and K. Li, “Extraordinary optical absorption based on guided-mode resonance,” Opt. Lett. 38(24), 5393–5396 (2013). [CrossRef] [PubMed]

]:
φ12+φ23+khm=2nπn=0,1,2,...,N
(3)
Where φ12 and φ23 are phases obtained by the cavity mode and caused by the reflection at the two terminations, n is resonance order interger, and k is the complex wave vector in the slit.

The guide mode resonance in the dielectric film is excited for TM polarized light when the following condition is satisfied [17

17. A. F. Kaplan, T. Xu, and L. J. Guo, “High efficiency resonance-based spectrum filters with tunable transmission bandwidth fabricated using nanoimprint lithography,” Appl. Phys. Lett. 99(14), 143111 (2011). [CrossRef]

]
(k02ε1β2)H=nπ+arctan(ε1ε2β2k02ε2k02ε1β2)1/2+arctan(ε1ε3β2k02ε3k02ε1β2)1/2
(4)
where β is the propagation constant, k0 is the free space wave number, H is the waveguide film thickness, and n is an integer. The permittivity of each film is given to be ε1, ε2, and ε3, respectively.

3. Results and discussion

The calculated transmission spectrum of this proposed structure with SiO2 film thickness H = 800 nm is presented in Fig. 1(b) for TM polarized light (red line) with other parameters P = 500 nm, w = 100 nm, and h = 200 nm. As a comparison, the calculated transmission spectrum of the identical metallic grating deposited on the SiO2 substrate (H → infinite) is presented (blue dashed line). It is interesting to see that four transmission dips and three remarkable peaks under normal incidence are obtained with SiO2 film thickness H = 800 nm. However, keeping other parameters constant, when H approaches infinite, there is only two transmission dips with a wide band and low transmission peak in-between in the wavelength range from 500 nm to 800 nm. Remarkably, when the thickness of SiO2 film is reduced to H = 800 nm, a wide band and low transmission peak is transformed to several peaks with narrow and high optical transmission. The appearance of these peaks can make this structure to be designed to act as a multispectral bandpass filter in the visible and near-IR wavelength range. In Fig. 1(b), two dips of SiO2 film thickness H approaching infinite coincides with the leftmost and rightmost dips of SiO2 film thickness H = 800 nm. The transmission peaks are only appeared between the two dips used as two boundary values.

The influence of metal film thickness h on transmission spectrum is shown in Fig. 2
Fig. 2 Transmission versus wavelength and metal film thickness h at normal incidence (a) in linear color map and (b) in logarithmic color map with fixed P = 500 nm, w = 100 nm and H = 800 nm. Transmission minima in Fig. 2(a) are shown clearly in Fig. 2(b). The vertical white lines in Fig. 2(a) indicate the position of transmission minima.
. To show clearly transmission minima, transmission spectrum depending on metal film thickness h at normal incidence are depicted in linear color map [Fig. 2(a)] and in logarithmic color map [Fig. 2(b)], respectively. In addition, the four dips with h = 200 nm from left to right in Fig. 2 are denoted by D1, D2, D3, and D4, respectively. It is shown that the wavelength position of four dips keep constant with the increase of metal film thickness h. So it can be inferred that the appearance of dips does not depend on the electromagnetic field distribution of metal silts and it is relative to that of metal/dielectric interface and SiO2 dielectric film. It is well known that cavity mode resonance can be excited inside the metal silts when metal film thickness h satisfies certain condition (Eq. (3)). That is, the appearance of dips has nothing to do with cavity mode inside metal slit. The leftmost and rightmost white dashed line indicate transmission minima appearing at the wavelengths of λD1 = 533 nm and λD4 = 764 nm, corresponding to the wavelength of SPPs resonant excitation at the metal/air and metal/SiO2 surfaces, respectively. This can be verified by Eq. (2). Moreover, as metal film thickness h increases, transmission peaks have a red shift. It is found that transmission peak is divided into three areas by transmission dips. Compared to that of no SiO2 dielectric film H = 0 nm [18

18. Y. Liang and W. Peng, “Theoretical study of transmission characteristics of sub-wavelength nano-structured metallic grating,” Appl. Spectrosc. 67(1), 49–53 (2013). [CrossRef] [PubMed]

], transmission peak of Fig. 2 have a different dependence on metal film thickness h. As metal film thickness h increases, cavity mode inside metal slits with different order is excited. The thicker metal film thickness is, the higher order the cavity mode have. In three areas, transmission peak depending on metal film thickness h has same tendency. These extraordinary optical transmission properties are resulted from the existence of a thin SiO2 dielectric film.

Additionally, we make further investigation of extraordinary optical properties in the subwavelength metallodielectric free-standing grating in Fig. 3
Fig. 3 Transmission versus wavelength and SiO2 film thickness H at normal incidence (a) in linear color map and (b) in logarithmic color map with fixed P = 500 nm, w = 100 nm and h = 200 nm. Transmission minima in Fig. 3(a) are shown clearly in Fig. 3(b). The vertical white lines in Fig. 3(a) indicate the position of transmission minima.
. Figure 3 illustrates the effect of SiO2 film thickness H on the transmission spectrum. Similarly, transmission spectrum depending on SiO2 film thickness H at normal incidence is depicted in linear color map [Fig. 3(a)] and in logarithmic color map [Fig. 3(b)], respectively. It is seen that the amount of transmission dips and peaks increases gradually as the SiO2 film thickness H increases. When the SiO2 film thickness H is up to 1400 nm, six transmission dips and five peaks under normal incidence are obtained. The white dashed lines in Fig. 3(a) [blue dashed lines in Fig. 3(b)] is at the wavelength λ = 533 nm and λ = 764 nm, corresponding to the wavelength of SPPs resonant excitation at the metal/air and metal/SiO2 surfaces, respectively. The two wavelengths are regarded as the boundaries of the appearance of all other dips and peaks. As the SiO2 film thickness H increases consistently, the amount of transmission peaks in the transmission spectrum of the structure increases continuously. When SiO2 film thickness H approaches infinite, transmission dips will not be detected and the countless transmission peaks will be connected to form a continue line, as shown in the blue dashed line of Fig. 1(b).

3.1 The explanation of transmission dips

As shown in Fig. 4
Fig. 4 Spatial magnetic field (|H|) distribution for (a) λD1 = 533 nm, (b) λD2 = 608 nm, (c) λD3 = 686 nm, and (d) λD4 = 764 nm transmission dips at normal incidence. White lines depict schematically the profile of metallic grating and SiO2 dielectric film.
, to further understand the mechanism of the generation of transmission dips, we calculate the normalized magnetic field distribution of transmission dips indicated by D1, D2, D3, and D4 in Fig. 2(a). Two unit cells of metallic grating in the following areconsidered. As mentioned above, dips D1 and D4 are attributed to SPPs resonant excitation of the top and down surfaces of metallic grating, respectively. As shown in Figs. 4(a) and 4(d), magnetic field of λD1 = 533 nm only is localized on the top metal/air surface of metallic grating. However, magnetic field of λD4 = 764 nm is localized on the top and down surfaces of metallic grating, and at λD4 = 764 nm magnetic field on the metal/SiO2 surface paly a leading role. They demonstrate the clear SPP characteristics: the magnetic field is mostly confined and have its maximum on the surface of metal film. The exponential dependence of field in the vertical direction is shown. This can be also verified by Eq. (2). Moreover, when the wavelength of incident light is longer than nSiO2 P = 1.5 × 500 nm = 750 nm, there is only zero-order transmission and first diffracted orders are disappear in the SiO2 film. So guide mode resonance cannot be excited as wavelength longer than 750 nm because of wave vector mismatch. Compared to that of Figs. 4(a) and 4(d), magnetic field of Figs. 4(b) and 4(c) has a most striking feature: guide mode is excited in SiO2 dielectric film with a perfect standing wave along the x direction generated in the waveguide film. Meanwhile, it is found that SPP mode on the metal/SiO2 surface in Figs. 4(b) and 4(c) is also excited. The SPP mode and guide mode can be simultaneously excited at λD2 = 608 nm and λD3 = 686 nm in the SiO2 film. Different waveguide mode is excited in SiO2 film: that at λD2 = 608 nm corresponding to first order mode, and that λD3 = 686 nm corresponding to zeroth order mode. Here ± 1 diffracted orders in the SiO2 film are involved in the excitation of different guide mode. They are trapped in the SiO2 waveguide. It is concluded that transmission minima at λD2 = 608 nm and λD3 = 686 nm is attribute to the hybrid mode between SPP mode on the metal/SiO2 surface and guide mode resonance in SiO2 film.

3.2 The explanation of transmission peaks

As shown in Figs. 6(a)
Fig. 6 Transmission versus wavelength and incident angle (a) in linear color map and (b) in logarithmic color map. Transmission minima in Fig. 6(a) are shown clearly in Fig. 6(b). (c) Reflection and (d) absorption versus wavelength and incident angle in linear color map with fixed P = 500 nm, w = 100 nm, H = 800 nm and h = 200 nm.
and 6(b), we also investigate the influence of oblique incident light on transmission spectrum in the designed structure. The structure parameters include P = 500 nm, w = 100 nm, H = 800 nm, h = 200 nm, and incident angles range from 0° to 40°. When the incident angle increases, transmission dips at normal incidence is divided into two transmission dip bands. As mentioned above, transmission dips at normal incidence is relative to the excitation of SPP on the metal/dielectric interfaces. At oblique incidence, two transmission dip bands correspond to the excitation of two SPP with opposite wave vectors in the x direction and opposite direction of propagation on the metal/dielectric interface. In Eq. (2), two SPP correspond to the excitation of SPP waves for n = −1, and 1, respectively. The explanations in details to one transmission dip divided to two ones at the oblique incidence can be found in the final section of ref. 19

19. Y. Liang, W. Peng, R. Hu, and H. Zou, “Extraordinary optical transmission based on subwavelength metallic grating with ellipse walls,” Opt. Express 21(5), 6139–6152 (2013). [CrossRef] [PubMed]

. In addition, at non-normal incidence, more transmission peaks appear in the transmission spectrum, which further reveal Fano resonance [8

8. E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, “Guided mode resonance in subwavelength metallodielectric free-standing grating for bandpass filtering,” Opt. Lett. 36(16), 3054–3056 (2011). [CrossRef] [PubMed]

]. The effect of oblique light on reflection spectra and absorption is depicted, as shown in Fig. 6(c) and Fig. 6(d). There is some important information provided by comparing four figures in Fig. 6. We observe that regions of high absorption in Fig. 6(d) are in agreement with that of high transmission in Fig. 6(a), but justly correspond to regions of low reflection in Fig. 6(c). Hence, it indicates that high absorption, high transmission and low reflection can be attributed to the resonant excitation of cavity mode in the slits of metallic grating. This high absorption always accompanied by high transmission produces a problem that perfect absorption is difficult to obtain. In the following, we will discuss that how to achieve perfect absorption in our structure by employing the guide mode resonance in the SiO2 film.

3.3 The explanation of perfect absorption peak

To reveal the physical mechanism of the perfect absorption peak in the propose structure, we calculate the normalized magnetic field distribution of absorption peak indicated by A1 and A2 in Fig. 7. The magnetic field distribution at λA1 = 608 nm and λA2 = 686 nm is shown in Figs. 8(a)
Fig. 8 Spatial magnetic field (|H|) distribution for (a) λA1 = 608 nm, and (b) λA2 = 686 nm high absorption peaks at normal incidence. White lines depict schematically the profile of metallic grating and SiO2 dielectric film.
and 8(b), respectively. Firstly, the magnetic field is found to be confined at the metal/SiO2 interface, demonstrating the clear SPP characteristics. Secondly, guide mode resonance in the SiO2 dielectric film is excited. Thirdly, the pronounced distinction between Fig. 8(a) and Fig. 4(b) is that the cavity mode resonance is excited in the metal slits of metallic grating in Fig. 8(a). At absorption peaks, the intensity of magnetic field in Fig. 8 is nearly four times stronger than that of Fig. 4, which is relative to the excitation of cavity mode in the metal slits. The nearly perfect absorption peak is generated because transmission peak is transformed into transmission dip. That is, the presence of the hybrid mode between SPP mode on the metal/SiO2 surface and guide mode in SiO2 film modifies the optical response of structure in the cavity mode vicinity. This modification reinforces the electromagnetic field energy distribution in the structure, which causes the extraordinary optical absorption. Hence, the interaction among SPP mode at the interface, guide mode in the SiO2 film and vertical cavity mode in the metal slit results in this pronounced absorption. This absorption peaks can be generated only when three modes can coexist. The absorption peak of λA1 = 608 nm and λA2 = 686 nm corresponds to different orders guide mode resonance in the SiO2 film and different orders cavity mode resonance inside the slit: that at λA1 = 608 nm corresponding to first order guide mode resonance and first order cavity mode (a node in the middle of the cavity); that at λA2 = 686 nm corresponding to zeroth order guide mode resonance and second order cavity mode.

4. Conclusions

In conclusion, multiple transmission dips and peaks base on one dimension metallic grating deposited on a thin dielectric film, can be obtained under normal incidence. The amount of dips and peaks can be adjusted by the thickness of dielectric film. The hybrid mode of SPP at the interface and guide mode resonance result in the generation of resonant dips, and transmission peaks mainly results from different Fano resonances and is relative to the cavity mode resonance inside the slits of metallic grating. More importantly, the nearly perfect absorption can be achieved when SPP mode, guide mode resonance and cavity mode resonance is excited simultaneously in the proposed structure. As a result, these extraordinary optical properties could be exploited in numerous photonics applications, such as photodetectors, visible spectral imaging systems, and so on.

Acknowledgments

The authors would like to thank financial supports from the National Nature Science Foundation of China (Grant Nos. 61137005 and 60977055) and the Ministry of Education of China (Grant No. DUT14ZD211 and SRFDP 20120041110040).

References and links

1.

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9(9), 707–715 (2010). [CrossRef] [PubMed]

2.

Y.-T. Yoon, C.-H. Park, and S.-S. Lee, “Highly efficient color filter incorporating a thin metal-dielectric resonant structure,” Appl. Phys. Express 5(2), 022501 (2012). [CrossRef]

3.

C.-H. Park, Y.-T. Yoon, and S.-S. Lee, “Polarization-independent visible wavelength filter incorporating a symmetric metal-dielectric resonant structure,” Opt. Express 20(21), 23769–23777 (2012). [CrossRef] [PubMed]

4.

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, “Infrared perfect absorber and its application as plasmonic sensor,” Nano Lett. 10(7), 2342–2348 (2010). [CrossRef] [PubMed]

5.

B. Zhang, J. Hendrickson, and J. Guo, “Multispectral near-perfect metamaterial absorbers using spatially multiplexed plasmon resonance metal square structures,” J. Opt. Soc. Am. B 30(3), 656–662 (2013). [CrossRef]

6.

M. Diem, T. Koschny, and C. M. Soukoulis, “Wide-angle perfect absorber/thermal emitter in the terahertz regime,” Phys. Rev. B 79(3), 033101 (2009). [CrossRef]

7.

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, “Design of midinfrared photodetectors enhanced by surface plasmonson grating structures,” Appl. Phys. Lett. 89(15), 151116 (2006). [CrossRef]

8.

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, “Guided mode resonance in subwavelength metallodielectric free-standing grating for bandpass filtering,” Opt. Lett. 36(16), 3054–3056 (2011). [CrossRef] [PubMed]

9.

E. Sakat, S. Héron, P. Bouchon, G. Vincent, F. Pardo, S. Collin, J.-L. Pelouard, and R. Haïdar, “Metal-dielectric bi-atomic structure for angular-tolerant spectral filtering,” Opt. Lett. 38(4), 425–427 (2013). [CrossRef] [PubMed]

10.

A. Roszkiewicz and W. Nasalski, “Reflection suppression and absorption enhancement of optical field at thin metal gratings with narrow slits,” Opt. Lett. 37(18), 3759–3761 (2012). [CrossRef] [PubMed]

11.

C. W. Cheng, M. N. Abbas, C. W. Chiu, K. T. Lai, M. H. Shih, and Y. C. Chang, “Wide-angle polarization independent infrared broadband absorbers based on metallic multi-sized disk arrays,” Opt. Express 20(9), 10376–10381 (2012). [CrossRef] [PubMed]

12.

W. Zhou, Y. Wu, M. Yu, P. Hao, G. Liu, and K. Li, “Extraordinary optical absorption based on guided-mode resonance,” Opt. Lett. 38(24), 5393–5396 (2013). [CrossRef] [PubMed]

13.

T. Ongarello, F. Romanato, P. Zilio, and M. Massari, “Polarization independence of extraordinary transmission trough 1D metallic gratings,” Opt. Express 19(10), 9426–9433 (2011). [CrossRef] [PubMed]

14.

G. Vincent, S. Collin, N. Bardou, J.-L. Pelouard, and R. Haïdar, “Large-area dielectric and metallic freestanding gratings for midinfrared optical filtering applications,” J. Vac. Sci. Technol. B 26(6), 1852–1855 (2008). [CrossRef]

15.

Lumerical Solutions, http://www.lumerical.com.

16.

S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, “Influence of material properties on extraordinary optical transmission through hole arrays,” Phys. Rev. B 77(7), 075401 (2008). [CrossRef]

17.

A. F. Kaplan, T. Xu, and L. J. Guo, “High efficiency resonance-based spectrum filters with tunable transmission bandwidth fabricated using nanoimprint lithography,” Appl. Phys. Lett. 99(14), 143111 (2011). [CrossRef]

18.

Y. Liang and W. Peng, “Theoretical study of transmission characteristics of sub-wavelength nano-structured metallic grating,” Appl. Spectrosc. 67(1), 49–53 (2013). [CrossRef] [PubMed]

19.

Y. Liang, W. Peng, R. Hu, and H. Zou, “Extraordinary optical transmission based on subwavelength metallic grating with ellipse walls,” Opt. Express 21(5), 6139–6152 (2013). [CrossRef] [PubMed]

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(310.2790) Thin films : Guided waves
(350.2450) Other areas of optics : Filters, absorption
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Diffraction and Gratings

History
Original Manuscript: June 4, 2014
Revised Manuscript: July 7, 2014
Manuscript Accepted: July 21, 2014
Published: August 5, 2014

Citation
Yuzhang Liang, Wei Peng, Rui Hu, and Lingxiao Xie, "Extraordinary optical properties in the subwavelength metallodielectric free-standing grating," Opt. Express 22, 19484-19494 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-16-19484


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References

  1. B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater.9(9), 707–715 (2010). [CrossRef] [PubMed]
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